Highest Common Factor of 2056, 3313 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 2056, 3313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2056, 3313 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 2056, 3313 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 2056, 3313 is 1.
HCF(2056, 3313) = 1
HCF of 2056, 3313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2056, 3313 is 1.
Highest Common Factor of 2056,3313 is 1
Step 1: Since 3313 > 2056, we apply the division lemma to 3313 and 2056, to get
3313 = 2056 x 1 + 1257
Step 2: Since the reminder 2056 ≠ 0, we apply division lemma to 1257 and 2056, to get
2056 = 1257 x 1 + 799
Step 3: We consider the new divisor 1257 and the new remainder 799, and apply the division lemma to get
1257 = 799 x 1 + 458
We consider the new divisor 799 and the new remainder 458,and apply the division lemma to get
799 = 458 x 1 + 341
We consider the new divisor 458 and the new remainder 341,and apply the division lemma to get
458 = 341 x 1 + 117
We consider the new divisor 341 and the new remainder 117,and apply the division lemma to get
341 = 117 x 2 + 107
We consider the new divisor 117 and the new remainder 107,and apply the division lemma to get
117 = 107 x 1 + 10
We consider the new divisor 107 and the new remainder 10,and apply the division lemma to get
107 = 10 x 10 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2056 and 3313 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(107,10) = HCF(117,107) = HCF(341,117) = HCF(458,341) = HCF(799,458) = HCF(1257,799) = HCF(2056,1257) = HCF(3313,2056) .
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Frequently Asked Questions on HCF of 2056, 3313 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 2056, 3313?
Answer: HCF of 2056, 3313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2056, 3313 using Euclid's Algorithm?
Answer: For arbitrary numbers 2056, 3313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.